### HYERS-ULAM STABILITY OF FOURTH ORDER EULER'S DIFFERENTIAL EQUATIONS

A. K. Tripathy, A. Satapathy
Published: 1 December 2015

Abstract: In this work, we investigate the Hyers-Ulam stability of the fourth order Euler's differential equations of the form $t^4 y^{(iv)} + \alpha t^3 y''' + \beta t^2 y'' +\gamma t y' +\delta y = 0,$ on any open interval $I = (a, b)$, $0 < a < b \le\infty$ or $-\infty < a < b < 0$, where $\alpha$, $\beta$, $\gamma$ and $\delta$ are complex constants.
Keywords: Differential / equations / fourth order / infty / Ulam Stability / Euler's / Hyers

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